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Finding the Fourth Proportional to 158.59, 219 and 142.39

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Solution

The fourth proportional to 158.59, 219 and 142.39 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.59 : 219 = 142.39 : x
  2. Step 2: Convert to fraction form
    158.59/219 = 142.39/x
  3. Step 3: Cross multiply
    158.59x = 219 × 142.39
  4. Step 4: Simplify right side
    158.59x = 31,183.41
  5. Step 5: Solve for x
    x = 31,183.41/158.59
  6. Step 6: Final answer
    x = 196.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.